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Published February 2019 | Submitted
Journal Article Open

Feynman quadrics-motive of the massive sunset graph

Abstract

We prove that the Feynman quadrics-motive of the massive sunset graph is "generically" not mixed-Tate. Moreover, we explicitly describe its "extra" complexity in terms of a Prym variety.

Additional Information

© 2018 Elsevier Inc. Received 3 June 2017, Revised 18 December 2017, Accepted 19 June 2018, Available online 23 July 2018. Matilde Marcolli was supported by the NSF grant DMS-1707882 and NSERC grants RGPIN-2018-04937 and RGPAS-2018-522593. Gonçalo Tabuada was supported by the NSF CAREER Award #1350472 and by the Fundação para a Ciência e a Tecnologia (Portuguese Foundation for Science and Technology) through the project UID/MAT/00297/2013 (Centro de Matemética e Aplicações). The authors are grateful to the anonymous referee for his/her comments.

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August 22, 2023
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March 5, 2024